Math Problem Statement
1 1/5 ÷ 3/4 =
Solution
To solve , we follow these steps:
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Convert the mixed number into an improper fraction:
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Now, divide by , which is the same as multiplying by the reciprocal of :
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Multiply the numerators and the denominators:
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Simplify by dividing both the numerator and the denominator by their greatest common divisor, which is 3:
So, the result is , which can also be written as .
Would you like more details on any of these steps?
Here are some related questions to think about:
- How do you multiply fractions?
- What is the process to convert improper fractions into mixed numbers?
- How do you simplify fractions?
- How do you divide fractions without converting them into decimals?
- Why is dividing by a fraction equivalent to multiplying by its reciprocal?
Tip: Always simplify fractions at the end to get the most reduced form.
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Math Problem Analysis
Mathematical Concepts
Fractions
Division
Mixed Numbers
Improper Fractions
Formulas
Reciprocal of a Fraction
Multiplication of Fractions
Simplification of Fractions
Theorems
Reciprocal Theorem
Suitable Grade Level
Grades 6-8